GCD of 355, 537, 560, 204 Calculator

Given Input numbers are 355, 537, 560, 204

In the factoring method, we have to find the divisors of all numbers

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (355, 537, 560, 204) = 1.

Given numbers are 355, 537, 560, 204

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 537 are 3 x 179

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 204 are 2 x 2 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 355, 537, 560, 204

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(355, 537) = 190635

GCD(355, 537) = ( 355 x 537 ) / 190635

= 355 / 537

= 355

Step2:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 355, 537, 560, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 828, 274, 573
• GCD of 348, 472, 790, 386
• GCD of 740, 976, 258, 816
• GCD of 899, 568, 498, 882
• GCD of 545, 890, 625, 162

Given numbers are 355, 537, 560, 204
The greatest common divisor of numbers 355, 537, 560, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 537, 560, 204 is 1.

1. What is the GCD of 355, 537, 560, 204?

GCD of given numbers 355, 537, 560, 204 is 1

2. How to calculate the greatest common divisor of 355, 537, 560, 204?

We can find the highest common divisor of 355, 537, 560, 204 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 355, 537, 560, 204 i.e 1.

3. How can I use the GCD of 355, 537, 560, 204Calculator?

Out the numbers 355, 537, 560, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.